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Title: Error Analysis for Constrained First-Order System Least-Squares Finite-Element Methods

Journal Article · · SIAM Journal on Scientific Computing
DOI:https://doi.org/10.1137/130943091· OSTI ID:1229825

Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE
DOE Contract Number:
AC52-07NA27344
OSTI ID:
1229825
Report Number(s):
LLNL-JRNL-645278
Journal Information:
SIAM Journal on Scientific Computing, Vol. 36, Issue 3; ISSN 1064-8275
Publisher:
SIAM
Country of Publication:
United States
Language:
English

References (29)

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Analysis of least squares finite element methods for the Stokes equations journal January 1994
A locally conservative least-squares method for Darcy flows journal December 2006
A locally conservative, discontinuous least-squares finite element method for the Stokes equations journal February 2011
A non-conforming least-squares finite element method for incompressible fluid flow problems: NON-CONFORMING LEAST-SQUARES METHODS FOR INCOMPRESSIBLE FLOWS journal November 2012
Analysis of Velocity-Flux Least-Squares Principles for the Navier--Stokes Equations: Part II journal January 1999
The Effect of Nonzero ∇ · B on the numerical solution of the magnetohydrodynamic equations journal May 1980
A least-squares approximation method for the time-harmonic Maxwell equations journal January 2005
Parallel adaptive mesh refinement for first-order system least squares: PARALLEL AMR FOR FOSLS-AMG journal January 2012
First-Order System Least Squares for Second-Order Partial Differential Equations: Part I journal December 1994
First-Order System Least Squares for Second-Order Partial Differential Equations: Part II journal April 1997
Least-Squares Methods for Linear Elasticity journal January 2004
Least-Squares Mixed Finite Element Methods for Non-Selfadjoint Elliptic Problems: II. Performance of Block-ILU Factorization Methods journal September 1995
Least-Squares Finite Element Method for the Stokes Problem with Zero Residual of Mass Conservation journal April 1997
A locally conservative LDG method for the incompressible Navier-Stokes equations journal October 2004
A Note on Discontinuous Galerkin Divergence-free Solutions of the Navier–Stokes Equations journal September 2006
On Mass‐Conserving Least‐Squares Methods journal January 2006
An alternative least-squares formulation of the Navier–Stokes equations with improved mass conservation journal September 2007
Regular Decompositions for H(div) Spaces journal January 2012
FOSLL* Method for the Eddy Current Problem with Three‐Dimensional Edge Singularities journal January 2007
First-Order System LL* (FOSLL*) for General Scalar Elliptic Problems in the Plane journal January 2005
First-Order System Least Squares for Coupled Stokes–Darcy Flow journal January 2011
Error estimates for least-squares mixed finite elements journal January 1994
Least-squares mixed finite element methods for non-selfadjoint elliptic problems: I. Error estimates journal February 1996
Space–time coupled spectral/hp least-squares finite element formulation for the incompressible Navier–Stokes equations journal July 2004
Interior penalty preconditioners for mixed finite element approximations of elliptic problems journal April 1996
A First-Order System Least Squares Finite Element Method for the Shallow Water Equations journal January 2005
Block-implicit multigrid solution of Navier-Stokes equations in primitive variables journal July 1986

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